Yeah why wouldn't you want to know how things work!
I obviously don't know you, but to me it seems that a majority of Docker users know how to spin up a container, but have zero knowledge of how to fix issues within their containers, or to create their own for their custom needs.
I would say yes, it's still self-hosting. It's probably not "home labbing", but it's still you responsible for all the services you host yourself, it's just the hardware which is managed by someone else.
Also don't let people discourage you from doing bare-metal.